Question

Suppose that we will take a random sample of size from a population having mean and standard deviation. For each of the following situations, find the mean variance, and standard deviation of the sampling distribution of the (a) = 10,0-2,5 (Round your answers of "ando - to 4 decimal places.) PE (D) - 500.0 - 5.0 - 100 Round your answers of " and ", -10 4 decimal places.) CO 1 Round your answers of and to 4 decimal places HE (100.00 Round your answers of "and to decina paces)

Answer 1

mean Note that if population has a M and standard deviation o. or Variance 2. The sampling distribution of a is has a meon is olso M standard deviation or Vanance is 02/2 a) M = 10 o 2, n=25 M = 10 Ji= 2/525 = 2 0.4 4/25= 0.16 5 b) M=500, 5=5, U, T500 Ti = 5/55 = 5/100 = 10.5 go2 = 02/n = 25/100 S - 10.25 n=4 C) M= 3, 8=1, 3 o = 1/5 0.5 8,2 = 1/4 = 0.25

d) M=100 n = 1,600 1100 /J180o Go 025 02 - 1/1600 0.000625 0,2 0.0006 Not that f(7)= F Factſ Ecoci Line Eres=u Hence ~ Mean M, Vanance 52%